Topological duality on the function space \(\mathcal H(\mathbb{C}^{\mathbb{N}})\)

DOI10.1016/0022-247X(79)90016-7zbMath0399.46018OpenAlexW2029542807MaRDI QIDQ1254703

José M. Ansemil

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90016-7

zbMATH Keywords

DualityCompact Open TopologiesHolomorphic Functions on the Cartesian ProductInductive Limit TopologyStrong Dual Spaces

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Duality theory for topological vector spaces (46A20) Inductive and projective limits in functional analysis (46M40) Holomorphic functions of several complex variables (32A10)

Related Items

Chaos for convolution operators on the space of entire functions of infinitely many complex variables ⋮ The spaces of analytic functions on open subsets of \(\mathbb R^{\mathbb N}\) and \(\mathbb C^{\mathbb N}\)

Cites Work

• Holomorphic functions on locally convex topological vector spaces. I: Locally convex topologies on \({\mathcal H}(U)\)
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